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36390903696 = 2434727572
BaseRepresentation
bin100001111001000100…
…010001111110010000
310110221010220110010000
4201321010101332100
51044012032404241
624415011210000
72425541402100
oct417104217620
9113833813100
1036390903696
1114484797624
1270772a6900
13357c439014
141a93131200
15e2ec29eb6
hex879111f90

36390903696 has 225 divisors, whose sum is σ = 122683953249. Its totient is φ = 10383666048.

The previous prime is 36390903649. The next prime is 36390903727. The reversal of 36390903696 is 69630909363.

The square root of 36390903696 is 190764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22482003600 + 13908900096 = 149940^2 + 117936^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48072150 + ... + 48072906.

Almost surely, 236390903696 is an apocalyptic number.

36390903696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36390903696 is the 190764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36390903696

36390903696 is an abundant number, since it is smaller than the sum of its proper divisors (86293049553).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36390903696 is an frugal number, since it uses more digits than its factorization.

36390903696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The spelling of 36390903696 in words is "thirty-six billion, three hundred ninety million, nine hundred three thousand, six hundred ninety-six".